The directional and smart antenna systems are different to the omni-directional antenna system. The major difference is the spatial diversity and the better channel utilization. The smart antenna system can communicate with multiple targets through handling the different beams. However, the interference is being between the different beams. The good scheduling will be the key of the performance of transmission throughput. For this reason, we proposed a novel scheduling algorithm to arrange the transmissions between different beams. Our contributions are shorter waiting time and more transmission pair in parallel. We also got the good throughput in the simulation.